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Finding the Third Proportional to 119,734 and 179,602

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Solution

The third proportional to 119,734 and 179,602 is: 269,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,734 : 179,602 = 179,602 : x
  2. Step 2: Convert to fraction form
    119,734/179,602 = 179,602/x
  3. Step 3: Cross multiply
    119,734x = 179,602 × 179,602
  4. Step 4: Simplify right side
    119,734x = 32,256,878,404
  5. Step 5: Solve for x
    x = 32,256,878,404/119,734
  6. Step 6: Final answer
    x = 269,404.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.